Question

$\frac{16^{9} }{8 ^{x} } = 2 ^{9}$
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Answer 1

Step-by-step explanation:

$\frac{ {16}^{9} }{ {8}^{x} } = {2}^{9} \\ \frac{ { ({2}^{4}) }^{9} }{ {( {2}^{3}) }^{x} } = {2}^{9} \\ \frac{ {2}^{4 \times 9} }{ {2}^{3x} } = {2}^{9} \\ \frac{ {2}^{36} }{ {2}^{3x} } = {2}^{9} \\ \frac{ {2}^{36} }{ {2}^{9} } = {2}^{3x} \\ {2}^{36 - 9} = {2}^{3x} \\ {2}^{27} = {2}^{3x} \\ 27 = 3x \\ \frac{27}{3} = x \\ \boxed{ \underline{ \underline{9 }}= x}$